Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x = ${\pi \over 2}$ in the first quadrant. Then,

$A_{1} : A_{2} = 1 : \sqrt{2} ;;\text{and};; A_{1} + A_{2} = 1$

$A_{1} = A_{2} ;;\text{and};; A_{1} + A_{2} = \sqrt{2}$

$2A_{1} = A_{2} ;;\text{and};; A_{1} + A_{2} = 1 + \sqrt{2}$

$A_{1} : A_{2} = 1 : 2 ;;\text{and};; A_{1} + A_{2} = 1$

Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and...

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Question Id : 12382 | Context : JEE Main 2021 (26 February Evening Shift)

Let A₁ be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A₂ be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x = ${\pi \over 2}$ in the first quadrant. Then,

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